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41142322221 = 372111313992
BaseRepresentation
bin100110010100010001…
…100000010000101101
310221012021112111222220
4212110101200100231
51133224413302341
630522302425553
72654354653200
oct462421402055
9127167474886
1041142322221
11164a284a6a0
127b825922b9
133b58930a80
141dc41a5937
15110be2ca66
hex99446042d

41142322221 has 72 divisors (see below), whose sum is σ = 75022252704. Its totient is φ = 19714484160.

The previous prime is 41142322219. The next prime is 41142322223. The reversal of 41142322221 is 12222324114.

It is an interprime number because it is at equal distance from previous prime (41142322219) and next prime (41142322223).

It is not a de Polignac number, because 41142322221 - 21 = 41142322219 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 41142322191 and 41142322200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41142322223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29407680 + ... + 29409078.

It is an arithmetic number, because the mean of its divisors is an integer number (1041975732).

Almost surely, 241142322221 is an apocalyptic number.

It is an amenable number.

41142322221 is a deficient number, since it is larger than the sum of its proper divisors (33879930483).

41142322221 is a wasteful number, since it uses less digits than its factorization.

41142322221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 1433 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 41142322221 its reverse (12222324114), we get a palindrome (53364646335).

It can be divided in two parts, 41142 and 322221, that added together give a palindrome (363363).

The spelling of 41142322221 in words is "forty-one billion, one hundred forty-two million, three hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 637 1001 1399 1617 1911 3003 4197 7007 9793 15389 18187 21021 29379 46167 54561 68551 107723 127309 200057 205653 323169 381927 600171 754061 891163 1400399 1957201 2262183 2673489 4201197 5871603 9802793 13700407 21529211 25443613 29408379 41101221 64587633 76330839 95902849 150704477 178105291 279879743 287708547 452113431 534315873 839639229 1054931339 1246737037 1959158201 3164794017 3740211111 5877474603 13714107407 41142322221